76127870 has 192 divisors, whose sum is σ = 196499520. Its totient is φ = 20901888.

The previous prime is 76127839. The next prime is 76127873. The reversal of 76127870 is 7872167.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76127873) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057492 + ... + 2057528.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 2^76127870 is an apocalyptic number.

76127870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76127870 is an abundant number, since it is smaller than the sum of its proper divisors (120371650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76127870 is a wasteful number, since it uses less digits than its factorization.

76127870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 76127870 is about 8725.1286523466. The cubic root of 76127870 is about 423.8197844248.

The spelling of 76127870 in words is "seventy-six million, one hundred twenty-seven thousand, eight hundred seventy".